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Simplifying 9g + -138 = 6(5 + -2g) + -3g Reorder the terms: -138 + 9g = 6(5 + -2g) + -3g -138 + 9g = (5 * 6 + -2g * 6) + -3g -138 + 9g = (30 + -12g) + -3g Combine like terms: -12g + -3g = -15g -138 + 9g = 30 + -15g Solving -138 + 9g = 30 + -15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '15g' to each side of the equation. -138 + 9g + 15g = 30 + -15g + 15g Combine like terms: 9g + 15g = 24g -138 + 24g = 30 + -15g + 15g Combine like terms: -15g + 15g = 0 -138 + 24g = 30 + 0 -138 + 24g = 30 Add '138' to each side of the equation. -138 + 138 + 24g = 30 + 138 Combine like terms: -138 + 138 = 0 0 + 24g = 30 + 138 24g = 30 + 138 Combine like terms: 30 + 138 = 168 24g = 168 Divide each side by '24'. g = 7 Simplifying g = 7
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